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Geometry: Right Circular Hollow Cylinder
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Right Circular Hollow Cylinder
Let R and r be the external and internal radii of a hollow cylinder of height h. Then,
(i) Area of each end = (R2 -r2)

(ii) Curved surface area of hollow cylinder
= External surface area + Internal surface area
= 2Rh+2rh = 2h(R + r)

(iii) Total surface area
= Curved surface area + 2 (Area of base ring)
= 2Rh + 2rh + 2( R2 - r2)
= 2Rh(R + r) + 2(R + r)(R - r)
= 2(R + r) (R + h - r)

(iv)Volume of material = External volume - Internal volume
= (R2 - r2)h
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Instalment Buying
Example: Find the volume of cylinder with inner radius 7 cm, outer radius 10 cm and height 18 cm.
Solution: Volume = (R2 - r2 )h
=3.142 x (102 - 72 ) x 18 cm3
=2884.356 cm3
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